ENGLISH

Rippling: Meta-Level Guidance for Mathematical Reasoning

By Alan Bundy , David Basin , Dieter Hutter , Andrew Ireland

Book information

Publisher
Cambridge University Press
Year
2005
ISBN
9780521834490, 052183449X
Language
english
Format
PDF
Filesize
2 MB (2177817 bytes)
Series
Cambridge Tracts in Theoretical Computer Science 56
Pages
218\218
Topic
Mathematics Logic
Library
mexmat
Time added
2009-07-20 03:45:11

Description

Rippling is a radically new technique for the automation of mathematical reasoning. It is widely applicable whenever a goal is to be proved from one or more syntactically similar givens. It was originally developed for inductive proofs, where the goal was the induction conclusion and the givens were the induction hypotheses. It has proved to be applicable to a much wider class of tasks, from summing series via analysis to general equational reasoning. The application to induction has especially important practical implications in the building of dependable IT systems, and provides solutions to issues such as the problem of combinatorial explosion. Rippling is the first of many new search control techniques based on formula annotation; some additional annotated reasoning techniques are also described here. This systematic and comprehensive introduction to rippling, and to the wider subject of automated inductive theorem proving, will be welcomed by researchers and graduate students alike.

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